Finding the Third Proportional to 146,245 and 319,256

Step by Step Solution

1. Step 1: Write the proportion equation
   146,245 : 319,256 = 319,256 : x
2. Step 2: Convert to fraction form
   146,245/319,256 = 319,256/x
3. Step 3: Cross multiply
   146,245x = 319,256 × 319,256
4. Step 4: Simplify right side
   146,245x = 101,924,393,536
5. Step 5: Solve for x
   x = 101,924,393,536/146,245
6. Step 6: Final answer
   x = 696,942.76